Name: ______Date: ______Block: ______

Unit 4 Test 1 Study Guide

Key Terms:

Know the relationship with the following angles:

•Complementary

•Supplementary

•Vertical

•Adjacent

Know how to find:

•Area of a Circle

•Circumference of a Circle

•If 3 side lengths will create a triangle

•Missing Angle of a Triangle

•If a Triangle is unique or not

Show work for all problems:

  1. Find the value of the missing angle:

x = ______

  1. What is the supplement of an angle that has a measure of 33.5o?
  1. What is the complement of an angle with a measure of 63o?
  1. What is the value of x?

x = ______

  1. Find the value of x:
  1. Find the measure of each angle:
  1. Find the value of x:
  1. Find the value of x:
  1. Determine if the following triangles are possible:
  1. 4 ft., 5 ft. 9 ft.
  1. 5 ft., 8 ft., 9 ft.
  1. 7 ft., 9 ft., 13 ft.
  1. 7 ft., 12 ft., 14 ft.
  1. 6 ft., 8 ft., 15 ft.
  1. Determine the missing angle of each triangle:
  1. Determine which triangles would be unique, and why:
  1. If a triangle has angles that measure 40, 50, and 90.
  1. If a triangle has side lengths of 7, 10, 12.
  1. If a triangle has side lengths of 6 and 17 and the angle between the two sides has a measure of 45.
  1. If a triangle has angles that measure 60, and 30 and the included side measures 8 in.
  1. If a triangle has side lengths of 5, and 11, and has a non-included angle measure of 33.
  1. Find the circumference of the circles (use 3.14 for pi):
  1. r = 22 cm
  1. r = 7 cm
  1. d = 25 in
  1. d = 20 cm
  1. r = 43 m
  1. Find the area of the circles (use 3.14 for pi):
  1. r = 14 in
  1. d = 24 ft.
  1. r = 29 cm
  1. r = 9 cm
  1. d = 6 m
  1. A Ferris wheel has a radius of 65 feet. If a passenger travels around the ferris wheel 7 times on one ride, how far did the passenger travel?
  1. If a pizza has a circumference of 24in, what is the diameter of the pizza to the nearest tenth of an inch?
  1. The tires of my scooter have a circumference of 7.5 inches. What is the radius of the tires?